The influence of the turbulence outer scale on the Strehl ratio obtain
ed with low-order adaptive optics systems is examined by numerical sim
ulation. The Karhunen-Loeve approach is used to generate wave-front sa
mples. A method that allows construction of the outer-scale-dependent
Karhunen-Loeve functions is described. It is shown that the Strehl rat
io produced by a second-order adaptive optics correction (tip-tilt, de
focus, and astigmatism) is affected quite strongly by the finite outer
scale. For the higher-order correction, the effect under study is wea
k and appears only when the outer-scale magnitude becomes less than th
e aperture diameter. It is also shown that the finite outer scale has
a positive effect on the Strehl ratio of the uncorrected long-exposure
image. (C) 1998 Optical Society of America.